Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 4 of 80

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Question number: 1

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2014

Short Answer Question▾

Write in Short

A hydrogen atom is in the state

Where in denote the principal, orbital and magnetic quantum numbers, respectively. If is the angular momentum operator, the average value of is________.

Question number: 2

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2014

MCQ▾

Question

A particle is confined to a one dimensional potential box with the potential

If the particle is subjected to a perturbation, within the box, , where is a small constant, the first order correction to the ground state energy is –

Choices

Choice (4) Response

a.

0

b.

c.

d.

Question number: 3

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2015

MCQ▾

Question

The average energy of a one dimensional quantum oscillator of frequency and in contact with a heat bath at temperature T is given by,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Quantum Mechanics » Particle in a Box

Appeared in Year: 2015

MCQ▾

Question

A particle is confined in a box of length as shown below,

A particle is in box

A Particle Is in Box

In figure a particle is confined in a box pf length L is shown.

If the potential is treated as a perturbation, including the first order correction, the ground state energy is –

Choices

Choice (4) Response

a.

b.

c.

d.

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